Atkin-Lehner |
3+ 7- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
112749i |
Isogeny class |
Conductor |
112749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
197347844421 = 37 · 76 · 13 · 59 |
Discriminant |
Eigenvalues |
0 3+ -1 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2711,-49057] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:24:1] |
Generators of the group modulo torsion |
j |
18736316416/1677429 |
j-invariant |
L |
2.1054752194524 |
L(r)(E,1)/r! |
Ω |
0.66539797630237 |
Real period |
R |
1.5821172436832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999763128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2301b1 |
Quadratic twists by: -7 |